{"year":"2023","publication_status":"published","status":"public","_id":"4950","citation":{"bibtex":"@article{Finkelshtein_Kondratiev_Kuchling_Lytvynov_Oliveira_2023, title={Analysis on the cone of discrete Radon measures}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2312.03537\">10.48550/ARXIV.2312.03537</a>}, journal={arXiv}, publisher={arXiv}, author={Finkelshtein, Dmitri and Kondratiev, Yuri and Kuchling, Peter and Lytvynov, Eugene and Oliveira, Maria Joao}, year={2023} }","ama":"Finkelshtein D, Kondratiev Y, Kuchling P, Lytvynov E, Oliveira MJ. Analysis on the cone of discrete Radon measures. <i>arXiv</i>. 2023. doi:<a href=\"https://doi.org/10.48550/ARXIV.2312.03537\">10.48550/ARXIV.2312.03537</a>","mla":"Finkelshtein, Dmitri, et al. “Analysis on the Cone of Discrete Radon Measures.” <i>ArXiv</i>, arXiv, 2023, doi:<a href=\"https://doi.org/10.48550/ARXIV.2312.03537\">10.48550/ARXIV.2312.03537</a>.","short":"D. Finkelshtein, Y. Kondratiev, P. Kuchling, E. Lytvynov, M.J. Oliveira, ArXiv (2023).","alphadin":"<span style=\"font-variant:small-caps;\">Finkelshtein, Dmitri</span> ; <span style=\"font-variant:small-caps;\">Kondratiev, Yuri</span> ; <span style=\"font-variant:small-caps;\">Kuchling, Peter</span> ; <span style=\"font-variant:small-caps;\">Lytvynov, Eugene</span> ; <span style=\"font-variant:small-caps;\">Oliveira, Maria Joao</span>: Analysis on the cone of discrete Radon measures. In: <i>arXiv</i>, arXiv (2023)","ieee":"D. Finkelshtein, Y. Kondratiev, P. Kuchling, E. Lytvynov, and M. J. Oliveira, “Analysis on the cone of discrete Radon measures,” <i>arXiv</i>, 2023.","apa":"Finkelshtein, D., Kondratiev, Y., Kuchling, P., Lytvynov, E., &#38; Oliveira, M. J. (2023). Analysis on the cone of discrete Radon measures. <i>ArXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2312.03537\">https://doi.org/10.48550/ARXIV.2312.03537</a>","chicago":"Finkelshtein, Dmitri, Yuri Kondratiev, Peter Kuchling, Eugene Lytvynov, and Maria Joao Oliveira. “Analysis on the Cone of Discrete Radon Measures.” <i>ArXiv</i>, 2023. <a href=\"https://doi.org/10.48550/ARXIV.2312.03537\">https://doi.org/10.48550/ARXIV.2312.03537</a>."},"user_id":"249224","title":"Analysis on the cone of discrete Radon measures","date_created":"2024-09-20T08:35:06Z","publication":"arXiv","doi":"10.48550/ARXIV.2312.03537","author":[{"first_name":"Dmitri","last_name":"Finkelshtein","full_name":"Finkelshtein, Dmitri"},{"last_name":"Kondratiev","full_name":"Kondratiev, Yuri","first_name":"Yuri"},{"full_name":"Kuchling, Peter","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-8241-4076/work/168054675","last_name":"Kuchling","orcid":"0000-0002-8241-4076","first_name":"Peter","id":"253182"},{"last_name":"Lytvynov","full_name":"Lytvynov, Eugene","first_name":"Eugene"},{"last_name":"Oliveira","full_name":"Oliveira, Maria Joao","first_name":"Maria Joao"}],"publisher":"arXiv","language":[{"iso":"eng"}],"date_updated":"2024-09-23T07:50:25Z","abstract":[{"text":"We study analysis on the cone of discrete Radon measures over a locally compact Polish space $X$. We discuss probability measures on the cone and the corresponding correlation measures and correlation functions on the sub-cone of finite discrete Radon measures over $X$. For this, we consider on the cone an analogue of the harmonic analysis on the configuration space developed in [12]. We also study elements of the difference calculus on the cone: we introduce discrete birth-and-death gradients and study the corresponding Dirichlet forms; finally, we discuss a system of polynomial functions on the cone which satisfy the binomial identity.","lang":"eng"}],"type":"journal_article"}